| Simulation.factor | EEE.family | EEV.family | EVV_banana.family | EVV_boomerang.family |
|---|---|---|---|---|
| no contamination | EEE | EEV | EVV_banana | EVV_boomerang |
| noise dimensions correlated | EEE_noiseCor | EEV_noiseCor | EVV_banana_noiseCor | EVV_boomerang_noiseCor |
| rotated (signal in all variables | EEE_rot | EEV_rot | EVV_banana_rot | EVV_boomerang_rot |
Each simulation is 420 observations of 4 varaibles (3 clusters, with 140 observations each).
The starting basis initialized to PC1:2 of each model. Radial tours created for the top 3 variables.
Let’s check if our component variance-covariance matrices are non-singular and postive semi-definate.
## [1] "cov: cov_circ"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_pos_cor_noise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
## [1] "cov: cov_elipse_neg_cor_noise"
## [1] "is non-singular matrix: TRUE"
## [1] "is positive semi-definite: TRUE"
Scrucca, Luca, Michael Fop, T. Brendan Murphy, and Adrian E. Raftery. “Mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture Models.” The R Journal 8, no. 1 (August 2016): 289-317.